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Finding the Third Proportional to 285,928,212 and 624,292,176

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Solution

The third proportional to 285,928,212 and 624,292,176 is: 1,363,071,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,928,212 : 624,292,176 = 624,292,176 : x
  2. Step 2: Convert to fraction form
    285,928,212/624,292,176 = 624,292,176/x
  3. Step 3: Cross multiply
    285,928,212x = 624,292,176 × 624,292,176
  4. Step 4: Simplify right side
    285,928,212x = 389,740,721,014,814,976
  5. Step 5: Solve for x
    x = 389,740,721,014,814,976/285,928,212
  6. Step 6: Final answer
    x = 1,363,071,934.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.